Search a number
-
+
79868379360 = 253571119910859
BaseRepresentation
bin100101001100010000…
…1101100000011100000
321122011011110001102110
41022120201230003200
52302032301114420
6100405132315320
75525133010650
oct1123041540340
9248134401373
1079868379360
11309656885a0
121358b912b40
1376baa9c793
143c194b6360
152126b6eee0
hex129886c0e0

79868379360 has 384 divisors, whose sum is σ = 315270144000. Its totient is φ = 16511109120.

The previous prime is 79868379343. The next prime is 79868379361. The reversal of 79868379360 is 6397386897.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 79868379291 and 79868379300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79868379361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7349611 + ... + 7360469.

It is an arithmetic number, because the mean of its divisors is an integer number (821016000).

Almost surely, 279868379360 is an apocalyptic number.

79868379360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79868379360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157635072000).

79868379360 is an abundant number, since it is smaller than the sum of its proper divisors (235401764640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

79868379360 is a wasteful number, since it uses less digits than its factorization.

79868379360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11094 (or 11086 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 66.

The spelling of 79868379360 in words is "seventy-nine billion, eight hundred sixty-eight million, three hundred seventy-nine thousand, three hundred sixty".